报告地点：行健楼学术活动室526
摘要：The Galois theory for algebraic equations is well-known to mathematicians and is the most famous contribution of Galois. It is probably less known that Galois also had great results and ideas beyond algebra and number theory. One of the least known and most mysterious contributions of Galois is his theory of ambiguity. Many great mathematicians, such as Lie, Picard, Klein, and Grothendieck, have tried to interpret and realize it to the extent possible. In this talk, I will give an overview of the origin and impacts of Galois' theory of ambiguity and a new interpretation of it in terms of the theory of monodromy of linear differential equations. We will also explain that this interpretation is made more convincing by Riemann's work on hypergeometric functions and hypergeometric differential equations. Some open problems on transcendental quantities will also be raised.
报告人简介：季理真，美国密歇根大学数学系教授，1984年获杭州大学理学学士学位，1985年赴美在丘成桐教授指导下研习数学。1987年在加州大学圣亚哥分校获得理学硕士学位，1991年在美国东北大学获得理学博士学位。先后在美国麻省理工学院，普林斯顿高等研究所从事研究工作，1995年至今任教于美国密歇根大学数学系。季理真教授的研究领域主要是几何、拓扑及数论的交叉学科。他在局部对称空间的紧化、黎曼面的谱、迹公式等方面取得了国际一流的原创性成就。他解决了Borel猜想、Siegel猜想等几个长期悬而未决的问题，并对包括Novikov猜想在内的另外一些著名问题做出了重要贡献。曾获得P. Sloan研究奖、晨兴数学银奖和Simons Fellowship。
